Microgrids availability evaluation using a Markov chain energy storage model: a comparison study in system architectures

The study of simple solar energy storage models leads to the question of analyzing the equilibrium distribution of Markov chains (Harris chains), for which the state at epoch (n + 1) (i.e. the temperature of the storage tank) depends on the state at epoch n and on a controlled input, acceptance of which entails a further decrease of the temperature level. Here we study the model where the input is exponentially distributed. For all values of the parameters involved an explicit expression for the equilibrium distribution of the Markov chain is derived, and from this we calculate, as one of the possible applications, the exact values of the mean of this equilibrium distribution.

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Development of a Markov-Chain-Based Energy Storage Model for Power Supply Availability Assessment of Photovoltaic Generation Plants

IEEE Transactions on Sustainable Energy ◽

10.1109/tste.2012.2207135 ◽

2013 ◽

Vol 4 (2) ◽

pp. 491-500 ◽

Cited By ~ 73

Author(s):

Junseok Song ◽

Vaidyanathan Krishnamurthy ◽

Alexis Kwasinski ◽

Ratnesh Sharma

Keyword(s):

Markov Chain ◽

Energy Storage ◽

Power Supply ◽

Photovoltaic Generation ◽

Storage Model ◽

Availability Assessment

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Calculation of the equilibrium distribution for a solar energy storage model

Journal of Applied Probability ◽

10.2307/3213953 ◽

1985 ◽

Vol 22 (4) ◽

pp. 852-864 ◽

Cited By ~ 7

Author(s):

G. Hooghiemstra ◽

M. Keane

Keyword(s):

Markov Chain ◽

Energy Storage ◽

Solar Energy ◽

Storage Tank ◽

Equilibrium Distribution ◽

The State ◽

Temperature Level ◽

Storage Model ◽

Solar Energy Storage ◽

The Mean

The study of simple solar energy storage models leads to the question of analyzing the equilibrium distribution of Markov chains (Harris chains), for which the state at epoch (n + 1) (i.e. the temperature of the storage tank) depends on the state at epoch n and on a controlled input, acceptance of which entails a further decrease of the temperature level. Here we study the model where the input is exponentially distributed. For all values of the parameters involved an explicit expression for the equilibrium distribution of the Markov chain is derived, and from this we calculate, as one of the possible applications, the exact values of the mean of this equilibrium distribution.

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Designing the Electricity Market with Energy Storage Devices

Elektrichestvo ◽

10.24160/0013-5380-2020-12-31-43 ◽

2020 ◽

Vol 12 (12) ◽

pp. 31-43

Author(s):

Tatiana A. VASKOVSKAYA ◽

◽

Boris A. KLUS ◽

Keyword(s):

Energy Storage ◽

Electricity Market ◽

Power Flow ◽

Optimal Power Flow ◽

Storage Systems ◽

Energy System ◽

Energy Storage Systems ◽

Storage Model ◽

Optimal Power ◽

Wide Range

The development of energy storage systems allows us to consider their usage for load profile leveling during operational planning on electricity markets. The paper proposes and analyses an application of an energy storage model to the electricity market in Russia with the focus on the day ahead market. We consider bidding, energy storage constraints for an optimal power flow problem, and locational marginal pricing. We show that the largest effect for the market and for the energy storage system would be gained by integration of the energy storage model into the market’s optimization models. The proposed theory has been tested on the optimal power flow model of the day ahead market in Russia of 10000-node Unified Energy System. It is shown that energy storage systems are in demand with a wide range of efficiencies and cycle costs.

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